Unique solvability of singularly perturbed boundary-value problems with unstable spectrum of the limit operator

The paper contains an asymptotic study of solutions of singularly perturbed boundary-value problems in the case of a limit operator with unstable spectrum. The main singularities of the solution are described and the principal term of the asymptotics is constructed. © 2014 Pleiades Publishing, Ltd.

Authors
Eliseev A.G.1 , Konyaev Y.A. 2 , Shaposhnikova D.A.1
Number of issue
1-2
Language
English
Pages
202-205
Status
Published
Volume
95
Year
2014
Organizations
  • 1 National Research University Moscow Institute of Power Engineering, Moscow, Russian Federation
  • 2 Peoples' Friendship University of Russia, Moscow, Russian Federation
Keywords
nonlocal boundary-value problem; regularization method; singularly perturbed boundary-value problem; turning point; unstable spectrum of the limit operator
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